Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows
Inga Timofejeva,
Kristina Poskuviene,
Maosen Cao,
Minvydas Ragulskis
Affiliations
Inga Timofejeva
Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, LT-51368 Kaunas, Lithuania
Kristina Poskuviene
Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, LT-51368 Kaunas, Lithuania
Maosen Cao
Department of Engineering Mechanics, Hohai University, Nanjing 210098, China
Minvydas Ragulskis
Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, LT-51368 Kaunas, Lithuania
A simple and effective algorithm for the identification of optimal time delays based on the geometrical properties of the embedded attractor is presented in this paper. A time series synchronization measure based on optimal time delays is derived. The approach is based on the comparison of optimal time delay sequences that are computed for segments of the considered time series. The proposed technique is validated using coupled chaotic Rössler systems.
